Partial Differential Equations III: Nonlinear Equations (003) - Rilegato

Libro 46 di 94: Applied Mathematical Sciences

Taylor, Michael E.

 
9780387946528: Partial Differential Equations III: Nonlinear Equations (003)

Sinossi

This is the third of three volumes on partial differential equations. It is devoted to nonlinear PDE. There are treatments of a number of equations of classical continuum mechanics, including relativistic versions. There are also treatments of various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. Analytical tools introduced in this volume include the theory of L^p Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis.

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Contenuti

13) Function space and operator theory for nonlinear analysis; 14) Nonlinear elliptic equations; 15) Nonlinear parabolic equations; 16) Nonlinear hyperbolic equations; 17) Euler and Navier-Stokes equations for incompressible fluids; 18) Einstein's equations

Product Description

Book by Taylor Michael E

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Altre edizioni note dello stesso titolo

9781441970480: Partial Differential Equations III: Nonlinear Equations: 117

Edizione in evidenza

ISBN 10:  1441970487 ISBN 13:  9781441970480
Casa editrice: Springer Nature, 2010
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